19520720798400 has 336 divisors, whose sum is σ = 71179426144800. Its totient is φ = 5204123320320.

The previous prime is 19520720798351. The next prime is 19520720798419. The reversal of 19520720798400 is 489702702591.

19520720798400 is a `hidden beast` number, since 1 + 9 + 5 + 20 + 7 + 207 + 9 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165526656 + ... + 165644544.

Almost surely, 2^{19520720798400} is an apocalyptic number.

19520720798400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19520720798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35589713072400).

19520720798400 is an abundant number, since it is smaller than the sum of its proper divisors (51658705346400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19520720798400 is a wasteful number, since it uses less digits than its factorization.

19520720798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121753 (or 121732 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 19520720798400 in words is "nineteen trillion, five hundred twenty billion, seven hundred twenty million, seven hundred ninety-eight thousand, four hundred".